The block diagram of a system is illustrated in the figure shown, where X(s) is the input Y(s) is the output. The transfer function $$H\left( s \right) = \frac{{Y\left( s \right)}}{{X\left( s \right)}}$$ is

A) $$H\left( s \right) = \frac{{{s^2} + 1}}{{2{s^2} + 1}}$$ B) $$H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + 2{s^2} + s + 1}}$$ C) $$H\left( s \right) = \frac{{s + 1}}{{{s^2} + s + 1}}$$ D) $$H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + {s^2} + s + 1}}$$

Answer & Solution

Correct Answer: Option B

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The block diagram of a system is illustrated in the figure...

The block diagram of a system is illustrated in the figure shown, where X(s) is the input Y(s) is the output. The transfer function $$H\left( s \right) = \frac{{Y\left( s \right)}}{{X\left( s \right)}}$$ is

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